Fractals Arising From Newton's Method
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Physics
Open Access Color
Green Open Access
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Abstract
We consider the dynamics as a special class of rational functions that are obtained from Newton's method when applied to a polynomial equation. Finding solutions of these equations leads to some beautiful images in complex functions. These images represent the basins of attraction of roots of complex functions. We seek the answer "What is the dynamics near the chosen parabolic fixed points?". In addition, we will provide a detailed history of Fractal and Dynamical System Theory.
Description
Keywords
Fractals, Newton'S Method
Fields of Science
Citation
Cilingir, Figen, "Fractals Arising from Newton's Method", First International Conference On Analysis and Applied Mathematics (Icaam 2012), Vol. 1470, pp. 142-147, (2012)
WoS Q
Scopus Q
Q4
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N/A
Source
1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY
Volume
1470
Issue
Start Page
142
End Page
147
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